Abstract
For an integer and a partition , we let be the multiset of hook lengths of which are divisible by . Then, define and to be the number of partitions of such that is even or odd, respectively. In a recent paper, Han generalized the Nekrasov–Okounkov formula to obtain a generating function for . We use this generating function to prove congruences for the coefficients .
Citation
Dan Collins. Sally Wolfe. "Congruences for Han's generating function." Involve 2 (2) 225 - 236, 2009. https://doi.org/10.2140/involve.2009.2.225
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